Effect of blood perfusion on thermal therapy in multilayer skin by semigroups approach

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Abbasi Ghasem; Khishtandar Soheila

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Journal Paper

Paper Information

Journal: Journal of Mahani Mathematical Research Year:2024 | Volume:13 | Issue:2 Page(s): 275-292

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Title

Effect of blood perfusion on thermal therapy in multilayer skin by semigroups approach

Author(s)

Abbasi Ghasem | Khishtandar Soheila | Issue Writer Certificate

Keywords

abstract differential equations

blood perfusion

semi-analytic solution

composite skin tissue

pulsed heat source

Abstract

A semi-analytical solution is proposed for the bioheat equation, which includes the epidermis, dermis, and hypodermis layers in the presence of a surface pulsed heat source. A switching time surface heating/cooling source, which has therapeutic applications in human tissue burning, is used. The interface temperature is calculated by matching the temperature and heat flux between two adjacent layers. A high-performance computing algorithm is designed and implemented by combining semigroups theory, Laplace transform, and convolution operators in each layer. It is proved that proposed solution is consistent, convergent and stable. The reliability, performance and efficiency of semi-analytical solutions are compared using the bioheat transfer module of COMSOL software based on standard finite element methods. Numerical results for three different medical examples are given. Influences of blood pressure on temperature along the layered skin for different switching and final times are discussed.

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